Question

broad inc. produces 4 different sizes of tvs using 3 machines. different sizes of tvs take different amounts of time to get processed at each of the 3 machines and bring in different amounts of profit for the company per unit. broad inc. has a limited amount of time to process tvs on each machine during each month but would like to find out how many of each size of tv to produce each month to maximize its total profit. how many constraints are needed to properly formulate this problem? (excluding the non-negativity constraint)

Answer 1

The number of TVs from four distinct types to maximize the profit is the decision variable. Consequently, there are 4 decision variables.

Broad Inc. uses three machines to make TVs in four different sizes, and each size requires a different length of time.

Let's use TV1, TV2, TV3, and TV4 as our examples.

Take three machines, M1, M2, and M3.

4 TVs from 3M are also provided.

This indicates that each machine makes a TV in one of two sizes:

Either,

M1 makes TV1 or TV2

M2 makes TV2 or TV3

M3 makes TV3 or TV1

The machinery must be increased or added to further determine the company's maximal profit potential.

The business needs six machines to operate and generate revenues from the possibilities provided. As a result, one machine produces two TVs.

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